The hydrogen atom in the ground state is excited by means of monochromatic radiation of wavelength `xA_(0)` The resulting spectrum consists of 15 different lines. Calculate the value of x.

Answer

`938A^(@)`

Explanation

`(n(n-1))/(2)=15" "n^(2)-n=30`
`n^(2)-n-30=0" "n=6`
`(1)/(lambdaÅ)=R_(H)[(1)/(1)-(1)/(36)]`
`(1)/(x)=(1)/(912)xx(35)/(36)=(35xx2496)/(32832)`
`lambda=932Å`